Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion

Popis výsledku v původním jazyce

The paper deals with modelling the flow of viscous incompressible fluid in multiporous media using the homogenization method. The double-porous structures are described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a skeleton structure which is made of a microporous material. Alternatively, the mesoscopic pores are populated by another porous material. In this case the homogenization leads to the mesoscopic Darcy flow model with large contrasts in the permeability coefficients. Its upscaling has been previously treated for two different topologies of the mesoscopic structure taking into account skeleton poroelasticity. The present paper is focused on the two-level upscaling of the flow in the rigid double-porous structure. The mesoscopic model is identical one previously proposed by others. The second-level upscaling leading to a macroscopic flow model is the new result of this paper. Its application to modelling perfusion of the liver tissue is discussed.

Název v anglickém jazyce

Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion

Popis výsledku anglicky

The paper deals with modelling the flow of viscous incompressible fluid in multiporous media using the homogenization method. The double-porous structures are described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a skeleton structure which is made of a microporous material. Alternatively, the mesoscopic pores are populated by another porous material. In this case the homogenization leads to the mesoscopic Darcy flow model with large contrasts in the permeability coefficients. Its upscaling has been previously treated for two different topologies of the mesoscopic structure taking into account skeleton poroelasticity. The present paper is focused on the two-level upscaling of the flow in the rigid double-porous structure. The mesoscopic model is identical one previously proposed by others. The second-level upscaling leading to a macroscopic flow model is the new result of this paper. Its application to modelling perfusion of the liver tissue is discussed.

Druh

D - Stať ve sborníku

CEP obor

JI - Kompositní materiály

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Civil-Comp Proseedings

ISBN

978-1-905088-63-8

ISSN

1759-3433

e-ISSN

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Počet stran výsledku

15

Strana od-do

1-15

Název nakladatele

Civil-Comp Press

Místo vydání

Sotland

Místo konání akce

Prague

Datum konání akce

1. 9. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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